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An airline offers the same number of tickets for morning and night flights. When the airline analyzed ticket sales,
they determined that the ratio of the number of sold tickets to the number of unsold tickets was 3:5 on morning
flights and 7:1 on night flights. If the airline sells 581 tickets on night flights, how many unsold tickets can the
airline expect on morning flights?

Respuesta :

calculista

Answer:

The number of unsold tickets the airline can expect on morning flights is 414.

Step-by-step explanation:

step 1

Find out the total number of tickets on night flights

Let

x ----> number of sold tickets

y ----> number of unsold tickets

we know that

[tex]\frac{x}{y}=\frac{7}{1}[/tex]

Isolate the variable y

[tex]y=\frac{1}{7}x[/tex] ----> equation A

[tex]x=581\ sold\ tickets[/tex] ----> equation B

substitute the value of x in the equation A

[tex]y=\frac{1}{7}(581)=83\ unsold\ tickets[/tex]

The total number of tickets is

[tex](x+y)=581+83=664\ tickets[/tex]

step 2

Find out how many unsold tickets can the  airline expect on morning flights

Remember that the total number of tickets on night flights is the same number for morning flights

so

[tex](x+y)=664[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{3}{5}[/tex]

[tex]x=\frac{3}{5}y[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex](\frac{3}{5}y+y)=664[/tex]

[tex]\frac{8}{5}y=664[/tex]

[tex]y=664(5)/8[/tex]

[tex]y=414\ unsold\ tickets[/tex]

therefore

The number of unsold tickets the airline can expect on morning flights is 414.

kennedydelorian

Answer:

its 415 because the sold tickets for night it 581 divided by 7 which is 83 then you multiply 83 times 5 which is 415

Step-by-step explanation:

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